F. H. WHITEHEAD 



223 



than of another then the probabilities are that it should be assigned to the first group. 

 These values for the groups A, B and C are shown below. 



F Group A. C. atrovirens = — 4770 



F Group B. C. pumilum = — 2459 



F Group C. C. semidecandrum = — 1590 



Since, as before stated, the function is linear and the mid-point between the mean 

 values of F is the point of delineation between groups, a value of F of more than — 3614 

 shows that it most probably should be classified as C. atrovirens ; if it has a value of F of 

 less than — 2024 it should be classified as belonging to C. semidecandrum; if it has an 

 intermediate value of F it should be classified as C. pumilum. 



It will be found, however, that complete and unequivocal separation is not achieved 

 by this analysis of the three groups although it gives better results than any arbitrary 

 weighting of characters. Those specimens which are difficult to allocate using this analysis 

 are those which would prove to be difficult using any system of determination. The 



Table 3 



Critical values of bract/scar ious tip ratio 



Class No. 



Ratio 



Class No. 



Ratio 



Class No. 



Ratio 



01 



2-95 



34 



67-30 



67 



131-65 



02 



4-90 



35 



69-25 



68 



133-60 



03 



6-85 



36 



71-20 



69 



135-55 



04 



8-80 



37 



73-15 



70 



137-50 



05 



10-75 



38 



75-10 



71 



139-45 



06 



12-70 



39 



77-05 



72 



141-40 



07 



14-65 



40 



79-00 



73 



143-35 



08 



16-60 



41 



80-95 



74 



145-30 



09 



18-55 



42 



82-90 



75 



147-25 



10 



20-50 



43 



84-85 



76 



149-20 



11 



22-45 



44 



86-80 



77 



151-15 



12 



24-40 



45 



88-75 



78 



153-10 



13 



26-35 



46 



90-70 



79 



155-05 



14 



28-30 



47 



92*65 



80 



157-00 



15 



30-25 



48 



94-60 



81 



158-95 



16 



32-20 



49 



96-55 



82 



160-90 



17 



34-15 



50 



98-50 



83 



162-85 



18 



36-10 



51 



100-45 



84 



164-80 



19 



38-05 



52 



102-40 



85 



166-75 



20 



40-00 



53 



104-35 



86 



168-70 



21 



41-95 



54 



106-30 



87 



170-65 



22 



43-90 



55 



108-25 



88 



172-60 



23 



45-85 



56 



110-20 



89 



174-55 



24 



47-80 



57 



112-15 



90 



176-50 



25 



49-75 



58 



114-10 



91 



178-45 



26 



51-70 



59 



116-05 



92 



180-40 



27 



53-65 



60 



118-00 



93 



182-35 



28 



55-60 



61 



119-95 



94 



184-30 



29 



57-55 



62 



121-90 



95 



186-25 



30 



59-50 



63 



123-85 



96 



188-20 



31 



61-45 



64 



125-80 



97 



190-15 



32 



63-40 



65 



127-75 



98 



192-10 



33 



65-35 



66 



129-70 



99 



194-05 











100 



196-00 



